2p^2-29p+14=0

Solution for 2p^2-29p+14=0 equation:

Simplifying
2p2 + -29p + 14 = 0

Reorder the terms:
14 + -29p + 2p2 = 0

Solving
14 + -29p + 2p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(1 + -2p)(14 + -1p) = 0

Subproblem 1
Set the factor '(1 + -2p)' equal to zero and attempt to solve:

Simplifying
1 + -2p = 0

Solving
1 + -2p = 0

Move all terms containing p to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -2p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2p = 0 + -1
-2p = 0 + -1

Combine like terms: 0 + -1 = -1
-2p = -1

Divide each side by '-2'.
p = 0.5

Simplifying
p = 0.5
Subproblem 2
Set the factor '(14 + -1p)' equal to zero and attempt to solve:

Simplifying
14 + -1p = 0

Solving
14 + -1p = 0

Move all terms containing p to the left, all other terms to the right.

Add '-14' to each side of the equation.
14 + -14 + -1p = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1p = 0 + -14
-1p = 0 + -14

Combine like terms: 0 + -14 = -14
-1p = -14

Divide each side by '-1'.
p = 14

Simplifying
p = 14
Solution
p = {0.5, 14}